Year 11 sampling and scatter graphs test to download as PDF

This Year 11 sampling and scatter graphs test lasts 45 minutes and is marked out of 20. It covers the whole chapter for pupils aged 15-16, and the full answers are on a separate page.

⏱️ Duration : 45 min
🎯 Total : 20 marks
❓ 5 questions

Mark/20

Question 1 – Stratified sampling
A town has 300 men, 500 women and 200 children. A stratified sample of 50 people is chosen.
1. How many of each group are in the sample? (3 marks)
2. Why is the sample stratified? (1 mark)
Question 2 – Estimating a population (Higher)
30 fish are tagged. A second sample of 35 has 7 tagged.
1. Estimate the number of fish. (3 marks)
2. Give one assumption. (1 mark)
Question 3 – Line of best fit
A line of best fit passes through \((1,12)\) and \((7,40)\).
1. Find its equation, giving the gradient to 1 decimal place. (3 marks)
2. Use it to estimate \(y\) when \(x=4\). (1 mark)
Question 4 – Correlation
A scatter graph shows the age of a car and its value.
1. Describe the correlation and what it shows. (2 marks)
2. A student says "older cars are worth less because they are older". Comment on cause and correlation. (2 marks)
Question 5 – Bias
A survey about a new park asks only people who are walking in the town centre on Saturday morning.
1. Give two reasons why the sample may be biased. (2 marks)
2. Suggest how to improve it. (2 marks)

How to use this Year 11 sampling and scatter graphs test

First, revise with the sampling and scatter graphs lesson and the worksheet. Then sit the test in one go, with a timer set to 45 minutes. After that, mark your work with the sampling and scatter graphs test answers. If you lose marks on a question, redo it the next day without help.

Finally, you can download this Year 11 sampling and scatter graphs test as a PDF and print it like a real exam paper. Moreover, all the pages of this chapter work together, so you can move between them at any time. For example, many pupils read the lesson on Monday, practise on Wednesday and test themselves on Friday.